摘要
提出了采用无网格Galerkin法与有限元耦合的方法来计算功能梯度材料中的J积分 .这种耦合的方法不仅解决了无网格Galerkin法力学边界条件施加的难点 ,而且还克服了无网格Galerkin法耗时较多的缺点 .此外 ,文中还给出了一个修正的适合功能梯度材料的J积分 ,它在功能梯度材料中是独立于积分路径的 .在计算过程中 ,取积分网格中高斯点的材料常数来模拟材料特性的变化 .
It is proposed that J integral for functional graded materials is calculated with a coupled element-free-finite element method. The technique not only treats essential boundary conditions easily, but also improves computation efficiency. Moreover, a modified J integral for functional graded materials is presented in this paper. The J integral is path independent in functional graded materials. In computational procedures, variations of material properties are simulated by adopting material parameters of Gauss point in quadrature elements. High accuracy and efficiency can be achieved in numerical examples.
基金
国家自然科学基金资助项目 (19772 0 5 1)
